Dual finite element formulations for the three-dimensional modeling of both inductive and capacitive effects in massive inductors

Dual finite element formulations are developed for modeling both inductive and capacitive effects in massive inductors. Mixed finite elements are used to satisfy each chosen conformity level for the unknown fields and to naturally define the global quantities involved in the inductive and capacitive circuit relations, to be used in circuit coupling. The interest of satisfying conformity properties for the considered magnetic and electric coupled problems is shown and the related mathematical and discrete tools for any wished conformity level are developed.